105647952 has 40 divisors (see below), whose sum is σ = 273330720. Its totient is φ = 35163520.

The previous prime is 105647951. The next prime is 105647959. The reversal of 105647952 is 259746501.

It is a super-2 number, since 2×105647952² = 22322979523588608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105647952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105647951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43999 + ... + 46337.

It is an arithmetic number, because the mean of its divisors is an integer number (6833268).

Almost surely, 2^105647952 is an apocalyptic number.

105647952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105647952 is an abundant number, since it is smaller than the sum of its proper divisors (167682768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105647952 is a wasteful number, since it uses less digits than its factorization.

105647952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 105647952 is about 10278.5189594610. The cubic root of 105647952 is about 472.7378338505.

The spelling of 105647952 in words is "one hundred five million, six hundred forty-seven thousand, nine hundred fifty-two".